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Finding the Fourth Proportional to 19,537.48, 26,949.54 and 12,823.48

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Solution

The fourth proportional to 19,537.48, 26,949.54 and 12,823.48 is: 17,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.48 : 26,949.54 = 12,823.48 : x
  2. Step 2: Convert to fraction form
    19,537.48/26,949.54 = 12,823.48/x
  3. Step 3: Cross multiply
    19,537.48x = 26,949.54 × 12,823.48
  4. Step 4: Simplify right side
    19,537.48x = 345,586,887.20
  5. Step 5: Solve for x
    x = 345,586,887.20/19,537.48
  6. Step 6: Final answer
    x = 17,688.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.